1. Write a proportion using an unknown value x and the ratio 5:6 then solve it.
5/6 = x/12
6 * 2 = 12
5 * 2 = 10
x = 10
2. In an orchestra, the ratio of trombones to violas is 1 to 3.
There are 9 violas, Write a proportion that gives the number t of trombones in the orchestra.
How many trombones are in the orchestra?
1/3 = t/9
3 * 3 = 9
1 * 3 = 3
t = 3
3. The school team has 80 swimmers. The ratio of grade 4 swimmers to all swimmers is 5:16. Write a proportion that gives the number s of grade 4 swimmers.
I'm having a hard time with this one, can someone walk me through it?
Sure! Let me guide you on how to solve the problem.
To write a proportion, we need to compare one part to the whole using a ratio. In this case, the ratio given is 5:16, representing the number of grade 4 swimmers to the total number of swimmers.
Let's assume the number of grade 4 swimmers is represented by the variable 's.' The total number of swimmers is given as 80.
So, we can write the proportion as follows:
5/16 = s/80
To solve for 's,' we need to cross multiply and then solve for s. Here's how:
Cross multiply: 5 * 80 = 16 * s
Simplify: 400 = 16s
Now, we can isolate 's' by dividing both sides of the equation by 16:
400/16 = s
Simplify: 25 = s
Therefore, the number of grade 4 swimmers (s) is 25.
I hope this explanation helps! If you have any further questions, feel free to ask.
1. Yes
2. Yes
3.
Let n = number of 4th grade swimmers
The ratio of 4th grade swimmers to the total swimmers is 5:16 or 5/16. The total number of swimmers is 80.
Therefore,
n/80 = 5/16
If you solve this, you'll have n = 25 swimmers (4th grade)
hope this helps~ `u`
Thank you so much!
10/? = 6/3
10/? =6/3 divided by?/3
10/?=?/1
10/?=2/1 times ?/?
10/? =10/?
? =